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A Background Independent Algebra in Quantum Gravity

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arxiv 2308.03663 v3 pith:WY52ZUA6 submitted 2023-08-07 hep-th

A Background Independent Algebra in Quantum Gravity

classification hep-th
keywords algebraentropystategravityquantumalongbackgroundbackground-independent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose an algebra of operators along an observer's worldline as a background-independent algebra in quantum gravity. In that context, it is natural to think of the Hartle-Hawking no boundary state as a universal state of maximum entropy, and to define entropy in terms of the relative entropy with this state. In the case that the only spacetimes considered correspond to de Sitter vacua with different values of the cosmological constant, this definition leads to sensible results.

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